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Finding the Third Proportional to 3,727.69 and 5,109.75

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Solution

The third proportional to 3,727.69 and 5,109.75 is: 7,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.69 : 5,109.75 = 5,109.75 : x
  2. Step 2: Convert to fraction form
    3,727.69/5,109.75 = 5,109.75/x
  3. Step 3: Cross multiply
    3,727.69x = 5,109.75 × 5,109.75
  4. Step 4: Simplify right side
    3,727.69x = 26,109,545.06
  5. Step 5: Solve for x
    x = 26,109,545.06/3,727.69
  6. Step 6: Final answer
    x = 7,004.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.